The mass of the object can be calculated using Newton's second law: force (F) = mass (m) x acceleration (a). Rearranging the formula to solve for mass, we get mass = force / acceleration. Substituting the values, mass = 30 N / 5 m/s^2 = 6 kg. Therefore, the mass of the object is 6 kg.
The force needed to accelerate the skier can be calculated using the formula F = m * a, where m is the mass of the skier (66 kg) and a is the acceleration (2 m/s^2). Plugging in the values, the force required would be 132 N.
Okay, first up: The question is poorly worded. Something with units of meters per second per second is not a "force", it's an acceleration. That might be a source of confusion. In the SI, force is measured in units of kilogram-meters per second per second (aka newtons), which should be a BIG clue as to how to solve the problem.To spell it out:Newton's second law is that force = mass * acceleration. You know the mass. You know the acceleration. You're looking for the weight (which is a force). The rest is basic arithmetic.
The force acting on the elevator is equal to its weight, which can be calculated using the formula F = m * g, where m is the mass of the elevator (1000 kg) and g is the acceleration due to gravity (9.8 m/s^2). So, the force on the elevator would be 1000 kg * 9.8 m/s^2 = 9800 N.
The force needed to accelerate the skier can be calculated using the formula F = m * a, where m is the mass of the skier (66 kg) and a is the acceleration (2 m/s^2). Plugging in the values, the force required would be 132 N.
Okay, first up: The question is poorly worded. Something with units of meters per second per second is not a "force", it's an acceleration. That might be a source of confusion. In the SI, force is measured in units of kilogram-meters per second per second (aka newtons), which should be a BIG clue as to how to solve the problem.To spell it out:Newton's second law is that force = mass * acceleration. You know the mass. You know the acceleration. You're looking for the weight (which is a force). The rest is basic arithmetic.
The force acting on the elevator is equal to its weight, which can be calculated using the formula F = m * g, where m is the mass of the elevator (1000 kg) and g is the acceleration due to gravity (9.8 m/s^2). So, the force on the elevator would be 1000 kg * 9.8 m/s^2 = 9800 N.
The "weight" of the object is expressed as a force 39.36 N where a Newton has units of kg .m. s-2 As the gravitometer is registering that the acceleration due to gravity is 9.83 m s-2 we can work out the mass of the object M as fllows M.g =39.36 M= 39.36/9.83 = 4.004kgs Looked at another way: A 1kg mass would exert a force of : 1X 9.83 measuered in Newtons The force observedcaused by the object (its weight) is 39.36 Newtons so we can work out the mass as 39.36/9.83 = 4.004 kgs Note that the units are kgs because Newtons are defined in terms of a kg.