Respuesta :
Answer:
Explanation:
To calculate the net force acting on the object, we need to consider the forward thrust force and the force of friction.
Given:
Mass of the object (m) = 2.81 kg
Forward thrust force (F_thrust) = 47.6 N
Coefficient of friction (μ) = 0.312
First, let's find the force of friction:
�
friction
=
�
×
�
F
friction
=μ×N
Where
�
N is the normal force.
The normal force is the force exerted by the surface on the object, which is equal in magnitude and opposite in direction to the gravitational force acting on the object.
�
=
�
�
N=mg
Where
�
g is the acceleration due to gravity (approximately
9.81
m/s
2
9.81m/s
2
).
�
=
(
2.81
kg
)
×
(
9.81
m/s
2
)
=
27.61
N
N=(2.81kg)×(9.81m/s
2
)=27.61N
Now, we can calculate the force of friction:
�
friction
=
(
0.312
)
×
(
27.61
N
)
=
8.615
N
F
friction
=(0.312)×(27.61N)=8.615N
The net force is the difference between the forward thrust force and the force of friction:
�
net
=
�
thrust
−
�
friction
F
net
=F
thrust
−F
friction
�
net
=
47.6
N
−
8.615
N
=
38.985
N
F
net
=47.6N−8.615N=38.985N
Now, we can use Newton's second law to find the acceleration:
�
net
=
�
�
F
net
=ma
�
=
�
net
�
a=
m
F
net
�
=
38.985
N
2.81
kg
≈
13.87
m/s
2
a=
2.81kg
38.985N
≈13.87m/s
2
Therefore:
The force of friction is approximately
8.615
N
8.615N.
The net force acting on the object is approximately
38.985
N
38.985N.
The acceleration of the object is approximately
13.87
m/s
2
13.87m/s
2
.
