what impulse is needed to stop a 45 g mass traveling at 42 m/s?
0.045 kg * 42 m/s = 1.89 kg*m/s
Impulse = Momentum change
To calculate the impulse needed to stop a mass, you can use the equation:
Impulse = mass × change in velocity
Given:
Mass (m) = 45 g = 0.045 kg (since 1 kg = 1000 g)
Initial velocity (u) = 42 m/s
Final velocity (v) = 0 m/s (since the mass needs to be stopped)
First, calculate the change in velocity (Δv):
Δv = v - u = 0 - 42 = -42 m/s
Now, you can determine the impulse:
Impulse = mass × change in velocity
Impulse = 0.045 kg × (-42 m/s)
Impulse = -1.89 kg·m/s
Therefore, an impulse of -1.89 kg·m/s is needed to stop the 45 g mass traveling at 42 m/s. The negative sign indicates that the direction of the impulse is opposite to the direction of motion.
To find the impulse needed to stop a mass, you can use the principle of conservation of momentum. Impulse is defined as the change in momentum of an object, and momentum is the product of mass and velocity.
The formula to calculate impulse is:
Impulse = Change in momentum = Final momentum - Initial momentum
To calculate the final momentum, we need to know the final velocity of the mass when it comes to a stop. Since the mass is required to be stopped, the final velocity will be 0 m/s.
Given:
Mass (m) = 45 g = 0.045 kg
Initial velocity (u) = 42 m/s
Final velocity (v) = 0 m/s
To calculate the initial momentum, we use the formula:
Initial momentum = mass × initial velocity
Initial momentum = 0.045 kg × 42 m/s.
Now, we can calculate the impulse:
Impulse = Final momentum - Initial momentum
Impulse = 0 kg·m/s - (0.045 kg × 42 m/s)
Simplifying, we get:
Impulse = - (0.045 kg × 42 m/s)
Impulse = -1.89 N·s
Therefore, the impulse needed to stop the 45 g mass traveling at 42 m/s is approximately -1.89 N·s. The negative sign indicates that the impulse is in the opposite direction to the initial motion.