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1. The Cheetah A cheetah on the prowl is stalking an antelope on the African plains. The cheetah slowly creeps forward towards the antelope until the cheetah is only 35 meters away, at which point it springs out from the brush and accelerates towards the antelope! The cheetah accelerates at a constant rate for 3.0 seconds, at which point it reaches its top speed of 27 m/s. The cheetah can continue running at this top speed for another 8.0 seconds before it becomes tired and slows down to a stop. If the antelope wishes to escape unharmed, how fast should the antelope run away from the cheetah? Assume the antelope attains its maximum speed in a negligible amount of time, and that the antelope can run at its maximum speed for much longer than the cheetah can.
1. The human body can survive an acceleration of less than 250 m/s2. If a person is involved in a car accident with a velocity of 110 km/h and is stopped by an airbag, over what distance must the air bag stop the person to survive the crash.
2. Suppose your electric bicycle (e-bike) is at rest and can reach a velocity of 12 m/s in 9s Assuming that it accelerates at a constant rate; what is its acceleration in m/s2?
3. Consider a jeepney at rest in the terminal accelerates at a constant acceleration of 4.5m/s^2
a. what is the velocity after 7?
b.) how much distance did the jeepney travel at this time
Determine the center mass of the fisherman and boat system if the fisherman stands at the end of a boat length L. The fisherman has a mass ¼ of the boat when is at rest.
Mr Warner is hiding a 1500 g of gold bar with a temperature of 30 °C inside a tank full of water with a temperature of 97 °. If the mass of water is 30 kg, calculate the final temperature of the gold bar. Given specific heat capacity of gold is 129 J/kg °C and water is 4200 J/kg °C
An object has a net 10 newton sideways force on it. If the force acts over a sideways distance of 1.5 meters find the work done on the object.
Can someone help me in explaining how I could illustrate this situation with diagrams (system diagrams, force diagrams etc)
- There is a glass marble placed on a slopes ramp. At the bottom of the ramp, unfairly charged spheres in a semicircle are placed. An electric force will be used to hold a marble still. Each sphere has a certain charge that keeps the marble in place in the middle of the ramp.
What would the force diagram look like (what charges? Fg(mgsin0), Couloumbic force etc). Is there any other ways I can illustrate this situation to show what’s going on? Thanks!
An automobile engine has weight(w) whose magnitude is W= 3150 N. This engine is being positioned above an engine compartment. To position the engine , a worker is using a rope. Find the tension (T), in the supporting cable and the tension (T²), in the positioning rope.
A ball is dropped from a height of 60 m. How high abo e the ground will it be when 1/3 of its total energy is Kinetic energy?
