A body of mass 2kg initially moving with 10m/s and a force is applied 10 N at an angle 53 degrees with the normal then find velocity and acceleration after 5 seconds
a. Fap = M*a.
10 = 2a, a = 5 m/s^2.
b. V = Vo + a*t = 10 + 5*5 = 35 m/s.
To find the velocity and acceleration after 5 seconds, we need to calculate the net force acting on the body, then use the equations of motion to determine the final velocity and acceleration.
Step 1: Find the acceleration using Newton's second law of motion:
F = m * a
Where:
F is the net force applied on the body (in this case, 10 N).
m is the mass of the body (2 kg).
a is the acceleration of the body.
Rearranging the equation to solve for a:
a = F / m
a = 10 N / 2 kg
a = 5 m/s²
Step 2: Calculate the velocity using the equation of motion:
v = u + a * t
Where:
v is the final velocity.
u is the initial velocity.
a is the acceleration.
t is the time (5 seconds).
Substituting the values into the equation:
v = 10 m/s + (5 m/s² * 5 s)
v = 10 m/s + 25 m/s
v = 35 m/s
So, the final velocity after 5 seconds is 35 m/s.
Step 3: The acceleration remains constant, so it remains at 5 m/s².
Therefore, after 5 seconds, the velocity is 35 m/s and the acceleration is 5 m/s².