A blue puck has a velocity of 3i –4j m/s. Its mass is 20 kg. What is its momentum?
what is mv?
60i-80j
To find the momentum of the blue puck, we need to calculate the product of its mass and velocity.
Given:
Velocity = 3i - 4j m/s
Mass = 20 kg
Step 1: Calculate the momentum in the x-direction.
Momentum (in the x-direction) = mass × velocity (in the x-direction)
= 20 kg × 3 m/s
= 60 kg·m/s
Step 2: Calculate the momentum in the y-direction.
Momentum (in the y-direction) = mass × velocity (in the y-direction)
= 20 kg × (-4 m/s)
= -80 kg·m/s
Step 3: Calculate the overall momentum.
Momentum = √[(momentum in x-direction)^2 + (momentum in y-direction)^2]
= √[(60 kg·m/s)^2 + (-80 kg·m/s)^2]
= √[3600 kg^2·m^2/s^2 + 6400 kg^2·m^2/s^2]
= √[10000 kg^2·m^2/s^2]
= 100 kg·m/s
Therefore, the momentum of the blue puck is 100 kg·m/s.
The momentum of an object can be calculated by multiplying its mass with its velocity. In this case, we have a blue puck with a mass of 20 kg and a velocity of 3i - 4j m/s.
To calculate the momentum, we can use the formula:
Momentum = mass × velocity
In vector form, the momentum can be expressed as:
P = m × v
where P represents momentum, m represents mass, and v represents velocity.
Given that the velocity of the puck is 3i - 4j m/s and the mass is 20 kg, we can substitute these values into the formula:
P = 20 kg × (3i - 4j) m/s
To calculate the momentum, we can multiply the scalar value (mass) by each component of the velocity vector:
P = (20 kg × 3 m/s)i - (20 kg × 4 m/s)j
P = 60 kg·m/s i - 80 kg·m/s j
Therefore, the momentum of the blue puck is 60 kg·m/s in the i-direction and -80 kg·m/s in the j-direction.