A person takes a trip, driving with a constant speed of 89.5 km/h, except for a 22.0-min rest stop. If the person’s average spee
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Answer:
X component of force is 60.62 N.
Y component of force is 35 N.
Force of gravity on the dog is 245 N.
Magnitude of normal force is 210 N.
Explanation:
Given:
Force of pull is,
Mass of the dog is,
Angle of inclination is, °
Acceleration due to gravity is,
The free body diagram of the dog is shown below.
The X and Y components of force of pull is given as:
Therefore, the X and Y components of the force are 60.62 N and 35 N respectively.
Force of gravity on the dog is the product of its mass and acceleration due to gravity. Thus,
Therefore, the force of gravity on the dog is 245 N.
Now, consider the motion in the vertical direction of the dog. As there is no motion in the vertical direction, the net force along the Y direction is 0. In other words, the total Upward force is equal to the total downward force.
From the free body diagram,
Therefore, the normal force acting on the dog is 210 N.
Answer:
9.43 m/s
Explanation:
First of all, we calculate the final kinetic energy of the car.
According to the work-energy theorem, the work done on the car is equal to its change in kinetic energy:
where
W = -36.733 J is the work done on the car (negative because the car is slowing down, so the work is done in the direction opposite to the motion of the car)
is the final kinetic energy
is the initial kinetic energy
Solving,
Now we can find the final speed of the car by using the formula for kinetic energy
where
m = 661 kg is the mass of the car
v is its final speed
Solving for v, we find