A 2.0 kg mass starts from rest and slides down an inclined plane 7.9 ✕ 10-1 m long in 0.64 s. What net force is acting on the mass along the incline?
N
d = 0.5a*t^2
d = 0.79 m.
t = 0.64 s.
Solve for a.
F = m*a
To find the net force acting on the mass along the incline, we need to use Newton's second law of motion, which states that the net force is equal to the product of mass and acceleration.
First, let's find the acceleration of the mass. We can use the equation of motion:
s = ut + (1/2)at^2
Where:
s = distance (7.9 × 10^-1 m)
u = initial velocity (0 m/s, since the mass starts from rest)
t = time (0.64 s)
7.9 × 10^-1 = 0 × 0.64 + (1/2)a(0.64)^2
Simplifying:
7.9 × 10^-1 = (1/2)(0.4096)a
Now, let's solve for acceleration (a):
a = (7.9 × 10^-1) / (0.4096 × 1/2)
a = 3.826 N/kg
Since the mass is 2.0 kg, we can calculate the net force using the formula:
Net force = mass × acceleration
Net force = 2.0 kg × 3.826 N/kg
Net force ≈ 7.652 N
Therefore, the net force acting on the mass along the incline is approximately 7.652 N.
To find the net force acting on the mass along the incline, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
First, we need to find the acceleration of the mass along the incline. We can use the formula for acceleration:
acceleration = change in velocity / time
Since the mass starts from rest, its initial velocity is zero, and the final velocity can be calculated using the formula:
final velocity = distance / time
Plugging in the values given:
final velocity = 0.79 m / 0.64 s
Now that we have the final velocity, we can calculate the acceleration:
acceleration = (final velocity - initial velocity) / time
Since the mass starts from rest, the initial velocity is 0, so the acceleration becomes:
acceleration = final velocity / time
Next, we need to find the net force acting on the mass. We can rearrange the formula for Newton's second law to solve for net force:
net force = mass * acceleration
Plugging in the values given:
net force = 2.0 kg * acceleration
Now, let's calculate the acceleration:
acceleration = final velocity / time
Plugging in the values:
acceleration = (0.79 m / 0.64 s) / 0.64 s
Now that we have the acceleration, we can find the net force by multiplying the mass and acceleration:
net force = 2.0 kg * acceleration
By performing the calculations, we find the net force acting on the mass along the incline.