A22.0 kg child slides down a slide that makes a 37.0° angle with the horizontal. (a) what is the magnitude of the normal force that the slide exerts on the child? (b) at what angle from the horizontal is this force directed? state your answer as a number between 0 and 90°.

Consider an ordinary, helium-filled party balloon with a volume of 2.2 ft3. the lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. using this fact, we can derive archimedes’ principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft3, calculate the maximum weight that can be lifted by the balloon. note: the molecular weight of air is 28.8 and that of helium is 4.

An open cart is moving along a straight frictionless horizontal track. when rain starts falling vertically into the cart, what happens to the speed of the cart?

If y gets smaller as x gets bigger and y have an relationship?