Answer:
The rider's speed will be approximately 35 m/s
Explanation:
Initially the rider has kinetic and potential energy, and after going down the hill, some of the potencial energy turns into kinetic energy. So using the conservation of energy, we have that:

The kinetic and potencial energy are given by:


So we have that:






So the rider's speed will be approximately 35 m/s
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Answer:
The speed of the cyclist is 2.75 km/min.
Explanation:
Given
To determine
We need to find the speed of a cyclist.
In order to determine the speed of a cyclist, all we need to do is to divide the distance covered by a cyclist by the time taken to cover the distance.
Using the formula involving speed, time, and distance

where
substitute d = 88, and t = 32 in the formula


Cancel the common factor 8

km/min
Therefore, the speed of the cyclist is 2.75 km/min.
Answer:
The work done on the system can be accounted for by;
Both
and 
Explanation:
The speed of the crate = Constant
Therefore, the acceleration of the crate = 0 m/s²
The net force applied to the crate,
= 0
Therefore, the force of with which the crate is pulled = The force resisting the upward motion of the crate
However, we have;
The force resisting the upward motion of the crate = The weight of the crate + The frictional resistance of the ramp due to the surface contact between the ramp and the crate
The work done on the system = The energy to balance the resisting force = The weight of the crate × The height the crate is raised + The heat generated as internal energy to the system
The weight of the crate × The height the crate is raised = Gravitational Potential Energy = 
The heat generated as internal energy to the system = 
Therefore;
The work done on the system =
+
.
Answer:
Final speed, v = 28.81 m/s
Explanation:
Given that,
Mass of the car, m = 1423 kg
Initial speed of the car, u = 26.4 m/s
Force experience by the car, F = 901 N
Distance, d = 106 m
To find,
The speed of the car after traveling this distance.
Solution,
The force experienced by a car is equal to the product of mass and acceleration.




Let v is the final speed of the car. Using third equation of motion to find it as :



v = 28.81 m/s
So, the final speed of the car is 28.81 m/s.