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Why is it important to have the same initial speed for each run in impulse and momentum experiment?
Having the same initial speed for each run in an impulse and momentum experiment ensures that the only variable being changed is the force applied, allowing for a more controlled and accurate comparison of the outcomes. This helps in isolating the effects of varying forces on the momentum change and provides a more reliable basis for drawing conclusions from the experiment results.
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What is the magnitude of the impulse of the collision?
The magnitude of the impulse of a collision is equal to the change in momentum of the object or objects involved. It is calculated by taking the difference between the final momentum and the initial momentum of the system. The impulse can be determined using the impulse-momentum theorem, which states that the impulse is equal to the change in momentum.
A 8-kg lead brick falls from a height of 2.2 m What impulse is needed to bring the brick to rest?
The impulse needed to bring the lead brick to rest can be calculated using the impulse-momentum theorem. The change in momentum is equal to the final momentum of the brick (0, since it comes to rest) minus the initial momentum. The initial momentum can be calculated by multiplying the mass of the brick by the initial velocity, which can be found using the formula: v = √(2gh), where g is the acceleration due to gravity (9.81 m/s^2), and h is the height (2.2 m). Substituting the values and solving for the initial velocity, the initial momentum can be calculated. The impulse would then be equal to the change in momentum.
How do you find time with momentum and force?
To find time with momentum and force, you can use the impulse-momentum theorem which states that impulse is equal to the change in momentum. Mathematically, impulse (force multiplied by time) equals the change in momentum (mass multiplied by final velocity minus initial velocity). By rearranging the formula, you can solve for time: time = change in momentum / force.
What impulse produces a velocity change of 4 m per s in a 12 kg mass?
The impulse required to produce a velocity change of 4 m/s in a 12 kg mass can be calculated using the impulse-momentum relationship: Impulse = change in momentum. First, calculate the initial momentum of the mass using the formula: initial momentum = mass x initial velocity. Assuming the initial velocity is 0 m/s, the initial momentum is 0. Next, calculate the final momentum using the formula: final momentum = mass x final velocity. With the final velocity being 4 m/s, the final momentum is 12 kg x 4 m/s = 48 kg*m/s. The change in momentum is then the final momentum minus the initial momentum: 48 kgm/s - 0 kgm/s = 48 kg*m/s. Therefore, the impulse required to produce this velocity change in the 12 kg mass is 48 kg*m/s.
Is impulse a vector quantity?
Two reasons. Recall impulse is the change in momentum. First the momentum is a vector. So imagine a triangle. One side is the initial momentum (with one direction), the second side is the final momentum (with a potentially different direction) and the third side is the impulse (or change in momentum). The other way to look at this is in terms of what causes the change in momentum. This is how impulse is generally described. The impulse can be defined as the average force acting on the particle multiplied by the time interval over which the force acts. This is sometimes represented as the integral of the force. As force is a vector so is the impulse caused by this force.
Why is it incorrect to say that impulse equals momentum?
Impulse is the change in momentum. Therefore Impulse is only equal to momentum if the initial momentum was equal to zero. Its the same phenomenon as position and displacement. Impulse= final momentum-initial momentum= mv - mv_0= Force * Time Where m is the mass and v is the velocity.
What is the standard unit of momemtum and impulse?
The units for impulse are kg.m/s. This is because impulse= (final momentum) -(initial momentum) and the units for momentum are kg.m/s.
What is the magnitude of the impulse of the collision?
The magnitude of the impulse of a collision is equal to the change in momentum of the object or objects involved. It is calculated by taking the difference between the final momentum and the initial momentum of the system. The impulse can be determined using the impulse-momentum theorem, which states that the impulse is equal to the change in momentum.
What does the impulse-momentum theorem state?
Impulse equals change in momentum. "Apex" The final momentum of any object (or collection of objects) must equal to its initial momentum plus any impulse imparted to the object (or collection of objects).
A ball with a mass M is falling on to the ground with some velocity V1 and raising with velocity V2 find the impulse?
Impulse = |change in momentum| Initial momentum = MV1 down Final momentum = MV2 up Missing momentum = impulse = M ( V1 - V2 )
A 8-kg lead brick falls from a height of 2.2 m What impulse is needed to bring the brick to rest?
The impulse needed to bring the lead brick to rest can be calculated using the impulse-momentum theorem. The change in momentum is equal to the final momentum of the brick (0, since it comes to rest) minus the initial momentum. The initial momentum can be calculated by multiplying the mass of the brick by the initial velocity, which can be found using the formula: v = √(2gh), where g is the acceleration due to gravity (9.81 m/s^2), and h is the height (2.2 m). Substituting the values and solving for the initial velocity, the initial momentum can be calculated. The impulse would then be equal to the change in momentum.
What happens to momentum when an impulse acts on a system?
Strictly speaking, you would say that a force acts on a system and the impulse of that force corresponds to the change in momentum of the system due to the action of the force. More mathematically, the impulse of a force is defined as the integral of that force with respect to time over the time period that the force acts.
How do you find time with momentum and force?
To find time with momentum and force, you can use the impulse-momentum theorem which states that impulse is equal to the change in momentum. Mathematically, impulse (force multiplied by time) equals the change in momentum (mass multiplied by final velocity minus initial velocity). By rearranging the formula, you can solve for time: time = change in momentum / force.
What impulse produces a velocity change of 4 m per s in a 12 kg mass?
The impulse required to produce a velocity change of 4 m/s in a 12 kg mass can be calculated using the impulse-momentum relationship: Impulse = change in momentum. First, calculate the initial momentum of the mass using the formula: initial momentum = mass x initial velocity. Assuming the initial velocity is 0 m/s, the initial momentum is 0. Next, calculate the final momentum using the formula: final momentum = mass x final velocity. With the final velocity being 4 m/s, the final momentum is 12 kg x 4 m/s = 48 kg*m/s. The change in momentum is then the final momentum minus the initial momentum: 48 kgm/s - 0 kgm/s = 48 kg*m/s. Therefore, the impulse required to produce this velocity change in the 12 kg mass is 48 kg*m/s.
Is impulse a vector quantity?
Two reasons. Recall impulse is the change in momentum. First the momentum is a vector. So imagine a triangle. One side is the initial momentum (with one direction), the second side is the final momentum (with a potentially different direction) and the third side is the impulse (or change in momentum). The other way to look at this is in terms of what causes the change in momentum. This is how impulse is generally described. The impulse can be defined as the average force acting on the particle multiplied by the time interval over which the force acts. This is sometimes represented as the integral of the force. As force is a vector so is the impulse caused by this force.
How are momentum and impulse related?
Momentum is mass * constant velocity, impulse involves imposing a force (either for or against) for a specified time , altering the velocity (and therefore, momentum)>Example. a 10 kg mass (m) @ 10 metres / second, has an impulse of 100 newtons / 10 seconds (t) applied in the direction of motion.Find the velocity change / new velocity / initial and final momentum>From f = m * a, but a = velocity change (vc) / time (t)So>f = m * (vc / t)Then>vc = t * (f / m) = 10 * 10 = 100 metres / sec velocity change (+ in this case)so, velocity is now 10 + 100 = 110 metres / sec (constant velocity)>initial momentum (p) = 10 * 10 = 100momentum (after impulse) (p) = 10 * 110 = 1100>Alternatively, to calculate final velocity after impulseFirst, find acceleration rate from a = f / myou know the impulse time, you know the initial velocity.>Use v = u + (a*t)v = 10 + (10 * 10)v = 110 metres per second
Assume that a 20 kg ball moving at 7 meter per second strikes a wall perpendicularly and rebounds elastically at the same speed What is the amount of impulse given to the wall?
The impulse delivered to the wall can be calculated using the formula: impulse = change in momentum. Since the ball rebounds elastically at the same speed, the change in momentum is twice the initial momentum (2 * mass * velocity). Thus, the impulse delivered to the wall is 280 Ns.
