A compact car, with mass 725kg, is moving at 115km/h toward the east.....find the magnitude and direction of it's momentum. Draw an arrow on your sketch showing the momentum
V = 115km/h = 115000m/3600s = 31.94 m/s.
Momentum = m*V
Direction: East.
=31.94
The momentum of an object is given by the product of its mass and velocity. In this case, the mass of the car is 725 kg and its velocity is 115 km/h towards the east.
To find the magnitude of the momentum, we can first convert the velocity from km/h to m/s. Remember that 1 km/h is equal to 0.28 m/s.
Velocity (m/s) = 115 km/h * 0.28 m/s = 32 m/s
Now, we can calculate the magnitude of momentum using the formula:
Momentum = mass * velocity
Momentum = 725 kg * 32 m/s
Momentum = 23,200 kg.m/s
To determine the direction of momentum, we need to consider that the car is moving towards the east. Therefore, the momentum vector will also point towards the east.
Here is a sketch showing the momentum arrow pointing towards the east:
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Remember to consider that the sketch is a simplification and the actual momentum vector would have both magnitude and direction.
To find the magnitude and direction of the momentum of the compact car, we need to know the formula for momentum, which is given by:
Momentum (p) = Mass (m) x Velocity (v)
Given:
Mass (m) = 725 kg
Velocity (v) = 115 km/h = 115,000 m/3600 s
Calculating the momentum:
p = m x v
= 725 kg x (115,000 m/3600 s)
To simplify the calculations, let's convert the speed to meters per second:
115 km/h = 115,000 m/3600 s
≈ 31.94 m/s (rounded to two decimal places)
Now, we can calculate the momentum:
p = 725 kg x 31.94 m/s
Multiplying the numbers:
p ≈ 23,155.5 kg·m/s
Therefore, the magnitude of the momentum is approximately 23,155.5 kg·m/s.
To represent the direction of the momentum, we can use an arrow. Since the car is moving toward the east, the arrow should point toward the right on our sketch.
Please note that due to limitations in this text-based interface, I am unable to draw a sketch directly. However, you can visualize the sketch in your mind and imagine an arrow pointing to the right to represent the momentum.