A movie stunt performer is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough
strength so that it doesn't break while swinging. The stunt performer's mass is 80.0 kg, the vine is 11.5 m long, and the speed of the stunt performer at the bottom of the swing has been determined to be 7.00 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?
1 answer:
Answer:
1125.66956 N
Explanation:
m = Mass of stunt performer
g = Acceleration due to gravity = 9.81 m/s²
v = Velocity of the swing = 7 m/s
T = Tension
r = Radius of the swing = Length of vine = 11.5 m
From the free body diagram
The minimum tension force the vine must be able to support without breaking is 1125.66956 N
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Answer:
27.1 m/s
Explanation:
Given that at a race car driving event, a staff member notices that the skid marks left by the race car are 9.06 m long. The very experienced staff member knows that the deceleration of a car when skidding is -40.52 m/s2.
Using third equation of motion,
V^2 = U^2 + 2aS
Since the car is decelerating, the final velocity V = 0
Substitute all the parameter into the equation above,
0 = U^2 - 2 * 40.52 * 9.06
U^2 = 734.22
U =
U = 27.096
U = 27.1 m/s approximately
Therefore, the staff member can estimate for the original speed of the race car to be 27.1 m/s if it came to a stop during the skid
- Initial velocity=u=12m/s
- Final velocity=v=20m/s
- Time=t=45s
Now
- Distance=s