The work done to lift the crate is equal to the gravitational potential energy gained: Work = force x distance = weight x height. Here, Work = 50kg x 9.8m/s^2 x 10m = 4900 Joules. Power is work done per unit time, so Power = Work / time = 4900J / 5s = 980 Watts. Therefore, the power rating of the machine is 980 Watts.
The potential energy of the crate at a height of 10 meters is given by the formula PE = mgh, where m is the mass (100 kg), g is the acceleration due to gravity (9.81 m/s²), and h is the height (10 meters). Substituting the values, we get PE = 100 kg * 9.81 m/s² * 10 meters = 9810 Joules.
The work done in lifting the tree is equal to the force applied multiplied by the distance it is lifted. The amount of work done would depend on the weight of the tree and the force required to lift it to a height of 2.75 meters above the ground.
The question seems to be missing some information required to calculate the distance the bean can be lifted by the crane. We would need the height the bean needs to be lifted to determine the distance in meters.
The potential energy of the crate at a height of 10 meters can be calculated using the formula PE = mgh, where m is the mass (100 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (10 m). Therefore, the potential energy of the crate at 10 meters height is PE = 100 kg * 9.8 m/s^2 * 10 m = 9800 J.
The potential energy gained by the object is 1,000 Joules. Potential energy is calculated using the formula PE = mgh, where m is the mass of the object (10 kg), g is the acceleration due to gravity (9.81 m/s^2), and h is the height the object is lifted (10 meters).
Please use the formula for gravitational potential energy (PE = mgh) to calculate the energy required. Then divide that by the time to get the power.
work = f x s. work = 1000 x 40 40000J
Meters
Use one of the formulas for constant acceleration to calculate how many meters the brick will fall after 2 seconds. Subtract this from the 30 meters, to see how high the brick is above ground. Finally, use the formula for potential energy: PE = mgh, to calculate the potential energy.
The height of the ball after 3 seconds can be calculated using the formula for free fall: ( h = h_0 - \frac{1}{2} g t^2 ), where ( h_0 ) is the initial height (80 meters), ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( t ) is the time in seconds. After 3 seconds, the height is ( h = 80 - \frac{1}{2} \times 9.81 \times (3^2) ), which simplifies to ( h = 80 - 44.145 ). Therefore, the height of the ball after 3 seconds is approximately 35.855 meters.
To get the weight (in Newton), multiply the mass by Earth's gravitation - about 9.8, in SI units.
The potential energy of the crate at a height of 10 meters is given by the formula PE = mgh, where m is the mass (100 kg), g is the acceleration due to gravity (9.81 m/s²), and h is the height (10 meters). Substituting the values, we get PE = 100 kg * 9.81 m/s² * 10 meters = 9810 Joules.
The work done in lifting the tree is equal to the force applied multiplied by the distance it is lifted. The amount of work done would depend on the weight of the tree and the force required to lift it to a height of 2.75 meters above the ground.
78*6*9.8 N = 4586.4 N
The question seems to be missing some information required to calculate the distance the bean can be lifted by the crane. We would need the height the bean needs to be lifted to determine the distance in meters.
19.6 meters / 64.4 ft
Gravity does not lift. The force is doing the work by lifting the riders. When the riders come down from the 60 meter height, then gravity will be at work.