a mass is given an initial velocity v0= 3.4ms up a 15 degree incline. a) if the coefficient of kinetic friction between the mass and the incline is 0.25, how long before the mass comes to rest?b) if the coefficient of static friction is 0.29, will the mass slide back down the incline? y! (C) What is theLme Ball hits the ground? (d) What is thU DOth the horizontal and vertical components) of the ball just befoICIQungground?is given an initial velocity vo = 3.4 m/s up a 15° incline. (a) If the coefficriction between the mass and the incline is uk = 0.26, how long before therest? (b) If the coefficient of static friction is µs = 0.29, will the mass sli%3Dn the incline?аmH= 0.2915°rs sometimes strike the Earth, converting most of their kinetic energy. (a) What is the kinetic energy of a 10° kg meteor moving at 2:intoteor lands in a deep ocean and 80% of its kinetic energy goesany kilograms of water could it raise by 5.0°C?of 0 250 kilograms and a length of 1.00 meter

Name: a mass is given an initial velocity v0= 3.4ms up a 15 degree incline.
Uploaded: 2024-03-20T06:57:57.000Z
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Description: a mass is given an initial velocity v0= 3.4ms up a 15 degree incline. a) if the coefficient of kinetic friction between the mass and the incline is 0.25, how long before the mass comes to rest?b) if the coefficient of static friction is 0.29, will th

Given data: Initial velocity of the mass, vo=3.4 m/s Inclined angle, θ=15o Coefficient of kinetics friction, μk=0.25 Coefficient of statics friction, μs=0.29(a) Net force acting on the inclined plane: Fnet=ma -mgsinθ+fk=ma mgsinθ+μk.N=-ma mgsinθ+μk.mgcosθ=-ma ∴ a=-gsinθ+μk.gcosθ Plugging in the given values: a=-9.8×sin15+0.25×9.8×cos15 =-4.9 m/s2 Let the distance covered by the mass be S. From kinematics equation: v2=vo2+2aS 02=3.42+2×-4.9×S S=3.422×4.9 =1.17 m (b) F=mgsinθ =m×9.8×sin15 =2.536m Friction force: fs=μs.mgcosθ =0.29×m×9.8×cos15 =2.745m N Since, friction force is greater than the \[mg\sin \theta \], therefore the object would slide back.