1. The mass of Kerry and the sledge together is 40 kg.
Sam pushes with a force of 50 N for 4 s.
a. What is the value of the quantity: (force x time) during which the force acts? 50 x 4 = 200
b. So what is the increased momentum of Kerry and the sledge?
c. What speed does Sam get the sledge up to after 4 s?
a=F/m = 50/40 =1.25 m/s²
Δ v=a •Δ t =2•4 = 8 m/s
Δp= m •Δ v= 40•8 = km•m/s
To find the increased momentum of Kerry and the sledge, we can use the formula:
Momentum = Mass x Velocity
Since we know that the mass of Kerry and the sledge together is 40 kg, we need to find the velocity.
To find the velocity, we can use the formula:
Force = Mass x Acceleration
We have the force, which is 50 N, and we know the mass is 40 kg. By rearranging the formula, we can solve for the acceleration:
Acceleration = Force / Mass
Acceleration = 50 N / 40 kg = 1.25 m/s^2
Next, to find the velocity, we can use the formula:
Velocity = Acceleration x Time
Since the time is given as 4 s, we can plug in the values:
Velocity = 1.25 m/s^2 x 4 s = 5 m/s
Now that we have the velocity, we can calculate the increased momentum:
Momentum = Mass x Velocity
Momentum = 40 kg x 5 m/s = 200 kg·m/s
Therefore, the increased momentum of Kerry and the sledge is 200 kg·m/s.
To find the speed that Sam gets the sledge up to after 4 s, we can simply use the velocity we found earlier, which was 5 m/s. So, after 4 s, Sam gets the sledge up to a speed of 5 m/s.