If a cow's mass is 391 kg and a car's mass is 425 kg. what is the difference of their weight?
A. 340 N
B. 325 N
C. 318 N
D. 333 N
weight = m g
(425-391)*9.8 = 333
Thank you! Also for explaining.
The weight of an object is given by the formula weight = mass × acceleration due to gravity. The acceleration due to gravity is approximately 9.8 m/s^2 on the surface of the Earth.
For the cow, the weight is given by:
Weight of cow = mass of cow × acceleration due to gravity
Weight of cow = 391 kg × 9.8 m/s^2
For the car, the weight is given by:
Weight of car = mass of car × acceleration due to gravity
Weight of car = 425 kg × 9.8 m/s^2
To find the difference in their weights, we subtract the weight of the car from the weight of the cow:
Difference in weight = Weight of cow - Weight of car
Difference in weight = (391 kg × 9.8 m/s^2) - (425 kg × 9.8 m/s^2)
Calculating the values:
Difference in weight = 3838.8 N - 4165 N
Difference in weight = -326.2 N (approximately)
Therefore, the difference in their weights is approximately -326.2 N.
Since the options provided are positive values, we can take the absolute value of the difference to find the correct option.
The correct answer is option B. 325 N (closest positive value to -326.2).
To find the difference in weight between the cow and the car, we first need to understand the concept of weight. Weight is the force exerted on an object due to gravity. It is calculated by multiplying an object's mass by the acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth.
Given that the cow's mass is 391 kg and the car's mass is 425 kg, we can calculate their respective weights.
Weight of the cow = mass of the cow × acceleration due to gravity
Weight of the cow = 391 kg × 9.8 m/s^2
Weight of the car = mass of the car × acceleration due to gravity
Weight of the car = 425 kg × 9.8 m/s^2
Now, we can calculate the difference in weight between the cow and the car by subtracting the weight of the cow from the weight of the car.
Difference in weight = Weight of the car - Weight of the cow
Plugging in the values:
Difference in weight = (425 kg × 9.8 m/s^2) - (391 kg × 9.8 m/s^2)
Difference in weight = 4165 N - 3838 N
Difference in weight = 327 N
Therefore, the correct answer is option D. 333 N.