Newtons Laws of Motion

The force that the ground exerts on the ball to stop it instantly is equal to the change in momentum of the ball over the time it takes to stop. This force will be greater than the force of gravity acting on the ball. Additionally, the force applied by the ground will need to overcome the force of gravity and provide an equal and opposite force to cancel out the ball's downward momentum.

The distance of fall can be calculated using the formula: distance = (1/2) * acceleration * time^2 For free fall near the surface of the Earth and neglecting air resistance, the acceleration is approximately 9.81 m/s^2. Plugging in the values, the distance of the fall would be around 59.2 meters.

The time taken for sound to travel back up the well is twice the time it took for the rock to fall, meaning the time taken for the sound to return is 2 * 2.73 sec. Therefore, the total time for sound to travel down and back up is 2.73 + (2 * 2.73) sec. Using the formula distance = velocity * time, we can calculate the depth of the well using this total time and the velocity of sound.

Firstly, it is instinct to avoid something that fast going towards the head. Secondly, hitting it is often hard and entirely pointless anyway (because you have very little control over where the ball actually goes).

Escape from Earth's (or any other planet's) gravity is dependent on reaching the escape speed for that gravity field. In the case of Earth, that requires a speed of nominally 11.2 kilometers per second. In practice, however, it is never necessary to actually reach that speed, because the effect of gravity lessens as distance from the center of the Earth increases. To answer your question, the amount of thrust (which is normally measured in pounds of thrust, but can be measured in horsepower) is dependent on the weight of the vehicle, its payload and fuel, and on the optimum rate at which it needs to burn its fuel to achieve altitude with the least consumption. On the space shuttles, the three main engines generate a maximum equivalent of about 37 million horsepower. The fuel pump alone delivers as much as 71,000 horsepower, the oxygen pump delivers about 23,000. Space shuttles don't escape Earth's gravity though; they just orbit the Earth. Mathematically, there is no requirement for power but rather for energy. There is no speed requirement for propelled vehicle either. The escape velocity refers to speed that an object needs to achieve leaving the gravitational well altogether without further acceleration. Provided there were efficient technical means(like in case of space elevator) vehicle could climb slowly into space with power going only for overcoming friction and it would be negligible. More power would only make a difference in time it would take to reach the top. Today however it's just technically convenient to boost the payload to orbital speed using enormous rockets and then leave it in free fall.

Force is change of momentum over time. You can't calculate that without knowing the time it takes for the object to stop after actually hitting the surface and even then it would be an estimate as the surface and object don't neccesarily have to keep the parameters of elasticity and plasticity all the time during impact.

It might be better to speak of impact in terms of energy.

Uniform motion is when an object moves with a constant speed in a straight line. Uniform acceleration is when an object's velocity changes at a constant rate. In uniform acceleration, the speed of the object increases or decreases by the same amount over equal time intervals.

To find the exact position of a moving body, you need its velocity, direction of motion, and the starting position. Additionally, information about any accelerations acting on the body would be necessary for certain cases, especially if the motion is not uniform.

static friction= normal contact force*coefficient of static friction

40 = (600*9.8) * CSF

CSF=40/(600*9.8) (you can calculate that yourself, i cant be bothered)

there isn't enough info to work out the coefficient of kinetic friction

It is not the force of the brakes that is stopping the car but rather external force of friction between tires and the road. Notice that no matter what the force at the brakes is, the car won't stop if there is no friction there(ie. the road is slippery).

This is an excellent question. Consider the NASA space shuttle. It has brakes, yet the brakes work only on the ground - only while the shuttle is landing. Why?

In space, the brakes have nothing to react against. So, as the questioner suspects, the internal forces of the brakes alone are not sufficient to change the velocity of the space shuttle. But once the shuttle lands, and is rolling down the runway, applying the brakes creates friction between the wheels and the runway. And it is the external force of the runway pushing back against the braking wheels that causes the shuttle to slow down.

In physics, work is defined by the product of force and perpendicular distance which it acts. The unit for work is the Joule(J)

Work done = Force * Distance moved

(Joules) (Newtons) (meters)

Given no air resistance or other forces acting on the projectile, the projectile falls at a rate of ~9.81 meters per second. Given the position equation is at^2 + vt + x, where a is acceleration, v is velocity, x is the starting position, and t is time. Given an initial velocity and time of zero, the object will have moved ~9.81 meters in the first second.

Newton's third law of motion allows a spaceship to accelerate by burning rocket fuel. As the fuel is burned and expelled as exhaust, the spaceship experiences an equal and opposite reaction force, propelling it forward. This process allows the spaceship to accelerate in the vacuum of space where there is no air resistance.

A 9mm bullet can typically travel up to 1.5 miles in the vertical direction when fired at an angle of 45 degrees. However, this distance can vary depending on factors such as the specific type of bullet, the firearm used, and environmental conditions.

Because a babys head is proportionally much larger and heavier WRT the body than an adult. As most collisions include the vehicle impacting something from the front, throwing the passengers forward a rear-facing seat will offer more support for the fragile neck

Hang time does exist. When an object is tossed into the air there is an instant where it has to stop moving in order to come back down. Please note the instant is very short, but it's certainly there.

Yes, a force can change the shape or size of an object by deforming it. External forces applied to an object can stretch, compress, bend, or break it depending on the magnitude and direction of the force applied.

Newton's 2nd Law of Motion states that F = m * a, where F = the net force acting on an object [N]; m = the mass of the object [kg]; and a = acceleration [m/s2] . If the motion is linear, then we can consider scalar operations on F and a. If the force is a vector, then a has to be a vector too.

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In fact, there is an infinite number of answers because force is a vector, meaning that it has a magnitude and an orientation. For example, if someone pushes horizontaly onto the book (10N) and the friction is 8N in the opposite direction, the resultant force is 2N. But if the book is pushed at an angle, the resultant force changes.

This statement is true. This type of movement is called Uniform Circular Motion. For every circular motion at constant speed, there is a constant radial acceleration (always pointing towards the center of the circle) named centripetal acceleration. This constant acceleration ensures that at every moment during the motion the orientation of the velocity is changed so that the object stays in a circular path.

The same forces that had been trying to slow it down while it still had fuel, but were being overcome by the reaction force of the fuel burning in the engine of the rocket. Nothing has changed other than the loss of this reaction force, no new forces appeared.

Potential energy is the energy that an object possesses due to its position in a force field or interaction with other objects. It is dependent on the object's position or configuration within the system. This energy can be released or converted into other forms of energy depending on the interactions involved.

You can relate it to the law of " an object will remain in motion unless acted upon another force". So, if you fire a paintball, in a vaccume it should continue forever. However, due to the air resistance and say a player in front of you, the paintball will stop.

Linear momentum is defined as mv, where m is the mass and v is the velocity. To get the mass, simply add up the 37kg person and the 18kg bicycle. This makes 55 kg total. We multiply this by 1.2 meters per second. This equals 66kgm/s(Kilogram meters per second).