A net force of 150 lbs acts on a body whose weight is 96 lbs. What is its acceleration? Please indicate the formula used.
The equation to use is
F = m * a, however, the mass must be in slugs, not pounds, if you are going to use British units. The force an be in pounds, and the value of a will be in ft/s^2.
1 slug is the mass that is accelerated at a rate of ft/s^2 by a force of 1 pound. It equals 32.2 pounds
An object with a weight of 96 lb (on earth) has a mass of
M = 96/32.3 = 2.981 slugs
a = F/m = 150/2.981 = 50.3 ft/s^2.
Thank you sir! :)
Well, well, well! We have a peculiar situation here. A net force of 150 lbs acting on a body whose weight is 96 lbs? That's like having a hungry elephant trying to pull a marshmallow!
Now, to calculate the acceleration, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. So, the formula we'll use is:
Fnet = m * a
In this case, we know that the weight (which is a force) is equal to 96 lbs. But since the weight is acting downwards, and the net force is acting in a different direction, we need to subtract the weight from the net force:
Fnet = 150 lbs - 96 lbs
Now we have the net force, let's go ahead and solve for acceleration. Since the mass is not given, we can't determine the exact acceleration.
So, my friend, without the mass of the body, I'm afraid we won't be able to calculate the acceleration. It's like trying to find a clown without a red nose! Nevertheless, I hope you enjoyed this little physics escapade!
To find the acceleration of an object, we can use Newton's second law of motion.
Newton's second law of motion states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The formula for this law is:
F = m * a
Where:
F = net force acting on the object
m = mass of the object
a = acceleration
In this case, the weight of the body is given as 96 lbs, which represents the force due to gravity acting on the object.
The formula for weight is:
Weight = m * g
Where:
Weight = force due to gravity
m = mass of the object
g = acceleration due to gravity (approximately 32.2 ft/s^2 on Earth)
Since the weight is given as 96 lbs, we can rearrange the formula to find the mass:
m = Weight / g
Substituting the given values:
m = 96 lbs / 32.2 ft/s^2
Now, we can use Newton's second law to find the acceleration:
F = m * a
Rearranging the formula to solve for acceleration:
a = F / m
Substituting the given values:
a = 150 lbs / (96 lbs / 32.2 ft/s^2)
a = 150 lbs / 3
a ≈ 50 ft/s^2
Therefore, the acceleration of the body is approximately 50 ft/s^2.
To find the acceleration of an object, you can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. The formula for this is:
F = m * a
where:
F is the net force acting on the object,
m is the mass of the object, and
a is the acceleration.
In this case, we know that the net force acting on the body is 150 lbs and its weight (which is equivalent to the force due to gravity) is 96 lbs.
Since weight is the force of gravity acting on an object and is given by the formula:
F_gravity = m * g
where:
F_gravity is the force due to gravity (weight),
m is the mass of the object, and
g is the acceleration due to gravity (approximately 32.2 ft/s²).
By equating weight (F_gravity) to the net force (F) acting on the object, we have:
F_gravity = F
m * g = m * a
We can cancel out the mass (m) from both sides of the equation:
g = a
Therefore, the acceleration (a) of the object is equal to the acceleration due to gravity (g), which in this case is approximately 32.2 ft/s².
So, the acceleration of the object is 32.2 ft/s².