A horizontal force of 100 N is applied a block solve this

AI Thread Summary
A horizontal force of 100 N applied to a block on a frictionless surface results in an acceleration of 3 m/s². The mass of the block is calculated as 33.33 kg using the formula mass = force/acceleration. If the force is applied for 10 seconds, the block will travel a distance of 150 meters, determined by the equation distance = 1/2 * acceleration * time². After 10 seconds, the speed of the block will reach 30 m/s, calculated with velocity = acceleration * time. Overall, the calculations are confirmed to be correct, aside from an initial unit error regarding mass.
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Homework Statement


1) A block lies on a horizontal friction-less surface. A horizontal force of 100 N is applied to the block giving rise to an acceleration of 3m/s^2.

(a) Determine the mass of the block.
b)Calculate the distance the block will travel if the force is applied for 10s.
c)Calculate the speed of the block after the force has been applied for 10s.

Homework Equations


Force=mass*(acceleration)
distance = 1/2*a*t^2
velocity = a*t

The Attempt at a Solution


a) I'm pretty sure it's just Force/accel =mass so 100N/3m/s^2=33.33kg (Edit kg not N)
b) distance = 1/2*a*t^2 = 1/2*3 m/s^2 * (10s)^2 = 150 m
c) velocity = a*t = 3 m/s^2 * 10s = 30 m/s
Just check over my work. At least I feel like I'm learning something this week.
 
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wein7145 said:

Homework Statement


1) A block lies on a horizontal friction-less surface. A horizontal force of 100 N is applied to the block giving rise to an acceleration of 3m/s^2.

(a) Determine the mass of the block.
b)Calculate the distance the block will travel if the force is applied for 10s.
c)Calculate the speed of the block after the force has been applied for 10s.

Homework Equations


Force=mass*(acceleration)
distance = 1/2*a*t^2
velocity = a*t

The Attempt at a Solution


a) I'm pretty sure it's just Force/accel =mass so 100N/3m/s^2=33.33N
b) distance = 1/2*a*t^2 = 1/2*3 m/s^2 * (10s)^2 = 150 m
c) velocity = a*t = 3 m/s^2 * 10s = 30 m/s
Just check over my work. At least I feel like I'm learning something this week.

In a) the units of mass are not Newtons.
 
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In a) the units of mass are not Newtons.
Whoops your right they are kg (Kilograms) But does everything else look good?
 
wein7145 said:
Whoops your right they are kg (Kilograms) But does everything else look good?
Yes, everything else seems to be OK.
 
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