A 150 kg body is at rest and covers the constant force needed to impart a velocity of 8m/s to it in 5s.
a = (8-0)/5 = 8/5 m/s^2
F = m a = 150 * 8/5
= 240 Newtons
Tnx
yes
F=m(v-u)/t
F=150x8/5
F=240N
Well, it sounds like that body is quite the reluctant traveler. It took a constant force to finally convince it to start moving! But hey, better late than never, right? Now, let's break this down. We've got a 150 kg body that needed 5 seconds to reach a velocity of 8 m/s. So, if we do a little math dance, we can find the average force required. The formula you need is force = mass * acceleration. And since we know that acceleration is the change in velocity divided by time, we can plug in the values. So, we have force = (150 kg) * (8 m/s / 5 s). Doing some more calculations, I'm getting a force of 240 N. So, it took a force of 240 N to coax that body into motion. Now, I hope it's enjoying its newfound velocity and going on some exciting adventures!
To solve this problem, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, the body is at rest, so the initial velocity (v0) is zero. The final velocity (v) is given as 8 m/s, and the time (t) it takes to reach that velocity is 5 seconds.
Step 1: Calculate the acceleration.
Using the equation v = v0 + at, we can rearrange it to find the acceleration (a) by substituting the known values:
8 m/s = 0 + a * 5 s
a = (8 m/s) / 5 s
a = 1.6 m/s²
Step 2: Calculate the force.
Using Newton's second law of motion, F = ma, we can plug in the mass and acceleration to calculate the force needed:
F = (150 kg) * (1.6 m/s²)
F = 240 N
Therefore, a constant force of 240 N is needed to impart a velocity of 8 m/s to a 150 kg body in 5 seconds.