answer the following questions. thank you .

De March Note: Take g = 10 1. In the figure below, the tension is string 1 is 30 N and the tension in string 2 is 20 N. 1 = 30, what is the mass of the object 4 points) Ceiling 2. If the only forces acting on 2015 mas as 5,- (32 8y) N and * 7,- (5x - 3y). a) What is the magnitude of the acceleratie of the particle points) b) What is the direction of the acceleration of the particle angle with respect to +x-direction)? points) c) If the objcct is initially at rest, find its vclocity after 3 seconds.2 points) 3. A block is pushed up a 30 incline by an applied force as shown (the dotted line is parallel to the surface). If P - 50 N and 3kg and the coefficient of kinetic friction is 0.2 a) what is the magnitude of the resulting acceleration of the block? (3 points) b) How far up the inclined surface will the object travel during 5 seconds! assume that the object is initially at rest points) m F 1 4. In the figure below the pulley is masses and the surface is frictionless a) ff - 2N and m - 1 kgwhat is the tension in the connecting string? points) b) For what value of F will the system be a seatic equilibrium? points) Frictionless surface m 5. In the figure below, the mass of the block is m = 5 kg. If the coefficients of static and kinetic friction are = 0.5 and i = 0.3, find the acceleration of the block for the following values of F (the force is applied parallel to the surface): a) F = 5 N (3 points) b) F = 15 N (2 points) m m F 15 6. Carlson normally weighs 60 kg and is on a bathroom scale inside an elevator. a) Suppose the elevator is moving and now the scale reads 100 kg. What is the elevator's acceleration (direction and magnitude)? (2 points) b) Suppose now the elevator is accelerating at -3.33 m/s (vector points downwards), what would Carlson weigh (in kg) according to the scale? (3 points) 2