A wagon with a weight of 300N is accelerated across a level surface at 0.5 m/s . What net force acts on the wagon
15.29
To determine the net force acting on the wagon, we can use Newton's second law of motion, which states that the net force (F_net) acting on an object is equal to the product of its mass (m) and its acceleration (a).
The formula for calculating net force is:
F_net = m * a
In this case, we are given the weight of the wagon, which can be considered the force due to gravity. The weight (W) of an object can be calculated using the formula W = m * g, where m is the mass of the object and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Given that the weight of the wagon is 300N, we can calculate its mass (m) using the equation W = m * g:
300N = m * 9.8 m/s^2
To isolate the mass (m), we divide both sides of the equation by 9.8 m/s^2:
m = 300N / 9.8 m/s^2
m ≈ 30.61 kg (rounded to two decimal places)
Now, we can determine the net force acting on the wagon using the given acceleration of 0.5 m/s:
F_net = m * a
F_net = 30.61 kg * 0.5 m/s
F_net = 15.305 N
Therefore, the net force acting on the wagon is approximately 15.305 N.
To determine the net force acting on the wagon, 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. The formula is:
Net force (F_net) = mass (m) * acceleration (a)
In this case, we are given the weight of the wagon, which is a force acting vertically downwards due to gravity. Weight is given by:
Weight = mass * acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s² on the surface of the Earth.
Since weight is given in Newtons (N), we can use it to find the mass of the wagon by rearranging the weight formula:
mass (m) = weight (W) / acceleration due to gravity (g)
Now, let's calculate the mass:
mass (m) = 300N / 9.8 m/s² ≈ 30.61 kg
Now that we have the mass and the acceleration of the wagon, we can calculate the net force:
Net force (F_net) = mass (m) * acceleration (a)
= 30.61 kg * 0.5 m/s²
= 15.305 N
Therefore, the net force acting on the wagon is approximately 15.305 Newtons.