Answer:
The direction and magnitude of velocity is 38.65° and 12.005 m/s
Explanation:
Given that,
Mass of car = 1500 kg
Speed of car = 25.0 m/s
Mass of van = 2500 kg
Speed of van =20.0 m/s
We need to calculate the velocity
Using conservation of energy




The magnitude of velocity


We need to calculate the direction




Hence, The direction and magnitude of velocity is 38.65° and 12.005 m/s.
Answer:
Vy = 80.5 [m/s]
Explanation:
In order to solve this problem we must use the Pythagorean theorem.
V = 90 [m/s]
The components are Vx and Vy:
Therefore:

where:
Vy = 2*Vx ; because one is twice of the other.
![90 = \sqrt{v_{x}^{2} +(2*v_{x})^{2} }\\ 90 =\sqrt{v_{x}^{2}+4*v_{x}^{2}} \\90 =\sqrt{5v_{x}^{2}} \\90=2.23*v_{x} \\v_{x}=40.25[m/s]](https://tex.z-dn.net/?f=90%20%3D%20%5Csqrt%7Bv_%7Bx%7D%5E%7B2%7D%20%20%2B%282%2Av_%7Bx%7D%29%5E%7B2%7D%20%7D%5C%5C%2090%20%3D%5Csqrt%7Bv_%7Bx%7D%5E%7B2%7D%2B4%2Av_%7Bx%7D%5E%7B2%7D%7D%20%5C%5C90%20%3D%5Csqrt%7B5v_%7Bx%7D%5E%7B2%7D%7D%20%5C%5C90%3D2.23%2Av_%7Bx%7D%20%5C%5Cv_%7Bx%7D%3D40.25%5Bm%2Fs%5D)
and the bigger vector is:
Vy = 40.25*2
Vy = 80.5 [m/s]
Work is done when a force is in the same direction as the object moves.
Explanation:
The work done by a force in moving an object is given by the equation

where
F is the magnitude of the force
d is the displacement of the object
is the angle between the directions of F and d
From the equation, we notice the following:
- Work is done by a force when the force is in the same direction as the object moves. In fact, in this case,
, and so
, which means that the work done simply becomes 
- When the force is perpendicular to the motion of the object,
and
, which means that no work done - Technically, work is also done when the force is not parallel to the motion of the object: in this case, the factor
means that only the component of the force parallel to the direction of motion contributes to do work on the object.
Therefore, the correct answer is
Work is done when a force is in the same direction as the object moves.
Learn more about work:
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brainly.com/question/6443626
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Answer:
Average velocity is said to be equal to the instantaneous velocity when acceleration is zero. When acceleration of an object is equal to zero, there can be no change in speed or direction.