A roller-coaster vehicle has a mass of 495 kg when fully loaded with passengers (see figure). 10 m 15 m (a) If the vehicle has a speed of 18.0 m/s at point e, what is the force (in N) of the track on the vehicle at this point? (b) What is the maximum speed (in m/s) the vehicle can have at point ® in order for gravity to hold it on the track? m/s

A 45.0-kg child swings in a swing supported by two chains, each 3.10 m long. The tension in each chain at the lowest point is 340 N. Find the child's speed at the lowest point. m/s

You throw a ball on planet X where g is not the same as on Earth. The figure below shows the vertical velocity of the ball after it leaves your hand. Air resistance is not important. v(m/s) 18.0 12.0 6.0 -6.0 -12.0 -18.0 1.0 2.0 3.0 t(s)

A 1,480-N crate is being pushed across a level floor at a constant speed by a force of 350 N at an angle of 20.0° below the horizontal, as shown in the figure a below. F 20.0° / 20.0° a b (a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.) (b) If the 350-N force is instead pulling the block at an angle of 20.0° above the horizontal, as shown in the figure b, what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a). m/s²

A ball with a mass of 1.50 kg rolls down a hemisphere from A to B. Se figure. At A, it has a centripetal acceleration with a magnitude of 1.80 m/s² and a speed of 1.20 m/s. At B, it has a centripetal acceleration with a magnitude of 5.50 m/s? and a normal force with a magnitude of 4.30 N. Find the magnitude of the normal force on the ball at A, and the angle 0. Ignore friction everywhere. VA = 1.20 m/s В VB = ? 0= ? R = ?

A child who weighs 300 N is swinging on a rope. At the highest point in the swing, the rope makes a 30 degree angle to the vertical. What is the force of tension in the rope?

Don't Use Chat GPT

You want the final speed at the bottom of your roller coaster hill to be 25 m/s. What is the height (h) of the hill to achieve this?  Use g = 9.8 m/s2

You are in charge of a cannon that exerts a force 17100 N on a cannon ball while the ball is in the barrel of the cannon. The length of the cannon barrel is 2.37 m and the cannon is aimed at a 36.7 ◦ angle from the ground. The acceleration of gravity is 9.8 m/s 2 . If you want the ball to leave the cannon with speed v0 = 89 m/s, what mass cannon ball must you use? Answer in units of kg. Answer in units of kg.

Please solve and answer the question correctly. Thank you!